Comparison of backstepping and modified active control in projective synchronization of chaos in an extended Bonhöffer–van der Pol oscillator

Ojo, K. S.; Njah, A. N.; Ogunjo, Samuel

doi:10.1007/s12043-013-0526-3

Cited by 30 publications

(24 citation statements)

References 26 publications

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“…Various linear and nonlinear control techniques have been developed to carry out synchronization behavior. Some of these include, adaptive control [7], linear error state feedback control [8], backstepping method [9], active control [10], sliding mode control [11], and nonlinear control [12] are worth citing here, among others.…”

Section: Introductionmentioning

confidence: 99%

A Research on Active Control to Synchronize a New 3D Chaotic System

Ahmad¹,

Saaban²,

Ibrahim³

et al. 2015

Systems

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This paper presents the robust synchronization problem of a 3D chaotic system by using the active control technique. Based on the Gershgorin theorem and Routh-Hurwitz criterion, sufficient algebraic conditions are derived to design a linear controller gain matrix. The conditions are then applied for the robust stability of the synchronization error dynamics in the presence of an unknown bounded smooth external disturbance. The proposed active control strategy with a suitable computation of the linear controller gain matrix is simple in design and establishes fast convergence rates of the synchronization error signals. Numerical simulation results further verified the analytical results.

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Section: Introductionmentioning

confidence: 99%

A Research on Active Control to Synchronize a New 3D Chaotic System

Ahmad¹,

Saaban²,

Ibrahim³

et al. 2015

Systems

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“…These methods include adaptive control [33], active control [34], sliding mode control [35], impulsive control [36], linear feedback control [37], backstepping control [38], open plus close loop control [39], adaptive fuzzy feedback [40], and passive control [41]. Notable among this method is the backstepping control technique which has outstanding performance in the synchronization of identical and nonidentical chaotic systems [42,43].…”

Section: Introductionmentioning

confidence: 99%

Multiswitching Synchronization of a Driven Hyperchaotic Circuit Using Active Backstepping

Ajayi

Ojo

Vincent

et al. 2014

Journal of Nonlinear Dynamics

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An active backstepping technique is proposed for the realization of multiswitching synchronization of periodically forced hyperchaotic Van der Pol-Duffing oscillators. The active backstepping technique is a systematic design approach with recursive procedures that skillfully optimizes the choice of Lyapunov functions and active control technique. Using the active backstepping technique, the usual master-slave synchronization scheme is extended to study the synchronization of systems with different combinations of the slave states variables with master state variables. Our numerical results confirm the effectiveness of the proposed analytical technique.

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“…According to Tian et al, [13], some of the advantages of the method include: applicability to a variety of chaotic systems irrespective of whether they contain external excitation or not; needs only one controller to realize synchronization of chaotic systems and finally there is no derivative in the controller. Backstepping technique offers faster and better transient error dynamics convergence and synchronization time than the active control technique [8].…”

Section: Introductionmentioning

confidence: 99%

“…All of the synchronization schemes mentioned above and many others [8,9] are between two similar or different chaotic systems. However, Runzi and Yinglan [12] have proposed a communication scheme (combination synchronization) whereby the signal to be transmitted is split between two drive systems so it can be transmitted at different intervals.…”

Section: Introductionmentioning

confidence: 99%

Reduced order hybrid function projective combination synchronization of three Josephson junctions

Ojo¹,

Njah²,

Ogunjo³

et al. 2014

Archives of Control Sciences

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Reduced order hybrid function projective combination synchronization of three Josephson junctions KAYODE. S. OJO, ABDULAHI N. NJAH, SAMUEL T. OGUNJO and OLASUNKANMI I. OLUSOLAIn this paper, we examine reduced order hybrid function projective combination synchronization of three chaotic systems consisting of: (i) two third chaotic Josephson junctions as drives and one second order chaotic Josephson junction as response system; (ii) one third order chaotic Josephson junction as the drive and two second order chaotic Josephson junctions as the slaves using active backstepping technique. The analytic results confirm the realization of reduced order hybrid function projective combination synchronization using active backstepping technique. Numerical simulations are performed to validate the analytical results.

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Comparison of backstepping and modified active control in projective synchronization of chaos in an extended Bonhöffer–van der Pol oscillator

Cited by 30 publications

References 26 publications

A Research on Active Control to Synchronize a New 3D Chaotic System

A Research on Active Control to Synchronize a New 3D Chaotic System

Multiswitching Synchronization of a Driven Hyperchaotic Circuit Using Active Backstepping

Reduced order hybrid function projective combination synchronization of three Josephson junctions

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